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Fundamental Factorization of a GLSM Part I: Construction

Ionut Ciocan-Fontanine | David Favero | Jeremy Guere | Bumsig Kim | Mark Shoemaker
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A01=Bumsig Kim
A01=David Favero
A01=Ionut Ciocan-Fontanine
A01=Jeremy Guere
A01=Mark Shoemaker
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Author_Bumsig Kim
Author_David Favero
Author_Ionut Ciocan-Fontanine
Author_Jeremy Guere
Author_Mark Shoemaker
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Product details

  • ISBN 9781470465438
  • Dimensions: 178 x 254mm
  • Publication Date: 30 Sep 2023
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Description
We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases these invariants recover both the Gromov-Witten type invariants defined by Chang-Li and Fan-Jarvis-Ruan using cosection localization as well as the FJRW type invariants constructed by Polishchuk-Vaintrob. The invariants are defined by constructing a "fundamental factorization" supported on the moduli space of Landau-Ginzburg maps to a convex hybrid model. This gives the kernel of a Fourier-Mukai transform; the associated map on Hochschild homology defines our theory.
About Bumsig Kim | David Favero | Ionut Ciocan-Fontanine | Jeremy Guere | Mark Shoemaker
Ionut Ciocan-Fontanine, University of Minnesota, Minneapolis, Minnesota, and Korea Institute for Advanced Study, Seoul, Republic of Korea.

David Favero, University of Minnesota, Minneapolis, Minnesota, and Korea Institute for Advanced Study, Seoul, Republic of Korea.

Jeremy Guere, Universite Grenoble Alpes, France.

Bumsig Kim, Korea Institute for Advanced Study, Seoul, Republic of Korea.

Mark Shoemaker, Colorado State University, Fort Collins, Colorado.

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